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Finding the Fourth Proportional to 791.62, 1,187.36 and 304.54

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Solution

The fourth proportional to 791.62, 1,187.36 and 304.54 is: 456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.62 : 1,187.36 = 304.54 : x
  2. Step 2: Convert to fraction form
    791.62/1,187.36 = 304.54/x
  3. Step 3: Cross multiply
    791.62x = 1,187.36 × 304.54
  4. Step 4: Simplify right side
    791.62x = 361,598.61
  5. Step 5: Solve for x
    x = 361,598.61/791.62
  6. Step 6: Final answer
    x = 456.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.